Stability of periodic polling system with BMAP arrivals

DOI10.1016/j.ejor.2008.05.016zbMath1157.90365OpenAlexW2153704495MaRDI QIDQ1011281

Miklós Telek, Zsolt Saffer

Publication date: 8 April 2009

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2008.05.016

zbMATH Keywords

queueingstabilityBMAPpolling modelservice discipline

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items

Stability of a two-queue cyclic polling system with BMAPs under gated service and state-dependent time-limited service disciplines ⋮ Unified analysis of \(BMAP/G/1\) cyclic polling models ⋮ On ergodicity conditions in a polling model with Markov modulated input and state-dependent routing ⋮ Stability of a cyclic polling system with an adaptive mechanism

Cites Work

• Comparison theorems and ergodic properties of polling systems.
• Stability of token passing rings
• Stability, monotonicity and invariant quantities in general polling systems
• Monotonicity and stability of periodic polling models
• Ergodicity of a polling network
• A stability criterion via fluid limits and its application to a polling system
• Stability of non-Markovian polling systems
• Mathematical methods to study the polling systems
• Ergodicity and analysis of the process describing the system state in polling systems with two queues
• New results on the single server queue with a batch markovian arrival process
• Poisson Arrivals See Time Averages
• Multiqueue Systems with Nonexhaustive Cyclic Service
• On the stability of polling models with multiple servers
• Queues with Periodic Service and Changeover Time

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